A least-squares error minimization approach in the determination of ferric ion diffusion coefficient of Fricke-infused dosimeter gels

Y. J. Tseng*, Sung Cheng Huang, W. C. Chu

*此作品的通信作者

研究成果: Article同行評審

7 引文 斯高帕斯(Scopus)

摘要

A least-squares error minimization approach was adopted to assess ferric ion diffusion coefficient of Fricke-agarose gels. Ferric ion diffusion process was modeled as a Gaussian-shaped degradation kernel operating on an initial concentration distribution. Diffusion coefficient was iteratively determined by minimizing the error function defined as the difference between the theoretically calculated and the experimentally measured dose distributions. A rapid MR image-based differential gel dosimetry technique that time resolves the evolution of the ferric ion diffusion process minimizes smearing of the dose distribution. Our results showed that for a Fricke-agarose gel contained 1 mM ammonium ferrous sulfate, 1% agarose, 1 mM sodium chloride, and 50 mM sulfuric acid, its ferric ion diffusion coefficient is (1.59 ± 0.28) × 10-2 cm2 h-1 at room temperature. This value falls within the 1.00-2.00 × 10-2 cm2 h-1 range previously reported under varying gelling ingredients and concentrations. This method allows a quick, nondestructive evaluation of the ferric ion diffusion coefficient that can be used in conjunction with the in situ gel dosimetry experiment to provide a practical diffusion characterization of the dosimeter gel.

原文English
頁(從 - 到)1017-1023
頁數7
期刊Medical Physics
32
發行號4
DOIs
出版狀態Published - 4月 2005

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